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# Periodic table predictive equation

Jean-claude Perez has put forth a mathematical model of the periodic table of elements wherein a simple equation generates and predicts the structure of the table of Mendeleev. Perez asserts this equation illustrates a law that unifies all the elements of nature.

• The equation predicts the number of elements of any layer of period "p" in the table according to the only value of this period "p". Beyond this mathematical modeling of the periodic table of the Elements,
• The equation underlines, in its formulation, the " trace" of the 4 fundamental quantum Numbers.
• The model predicts the structure of the hypothetical extensions of the table of Mendeleev towards possible Elements (real) unknown which would be located beyond the last known radioactive Elements.
• The model also makes it possible to imagine an infinity of other Elements (virtual) which one could however predict positioning towards the low layers of the table, like their quantum properties.

## Summary

IF: -c(p) a horizontal layer of elements of the table of Mendeleev,
-"p" the period associated with this c(p) layer such as p = [ 1 2 3 4 5 6 7 … ],
-Int(v) the whole part of the numerical value "v". exp: if v=2.35,then Int(2.35)=2.

THEN: one obtains c(p), the number of elements contained in the c(p) layer of order p, by applying the formula:

c(p) = 2 [ Int ( (p+2) / 2 ) ]*2

Examples :
If p=1 then c(1)=2
If p=2 then c(2)=8 If p=3 then c(3)=8
If p=4 then c(4)=18 If p=5 then c(5)=18
If p=6 then c(6)=32 If p=7 then c(7)=32
If p=8 then c(8)=50 If p=9 then c(9)=50
…/… If p=16 then c(16)=162

## Conclusion

1. The periodic table of the Elements is modelizable. It is structured by a numerical structure of whole numbers.
2. This structure is deterministic and predictive, then, for any period p, it can be calculated by applying "the Perez's generic equation of Mendeleev".
3. The generic equation is completely controlled by the four quantum Numbers.
4. This generic equation makes it possible to check the regularity of the common table of Mendeleev, but it can also "predict" and anticipate the existence of hypothetical Eléments now unknown, of which it makes it possible to determine the quantum properties, then electronic and chemical hypothetical properties.